27420906240 has 576 divisors, whose sum is σ = 119775129600. Its totient is φ = 5784846336.

The previous prime is 27420906209. The next prime is 27420906277. The reversal of 27420906240 is 4260902472.

27420906240 is a `hidden beast` number, since 2 + 7 + 4 + 20 + 9 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27420906195 and 27420906204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3140601 + ... + 3149319.

Almost surely, 2^27420906240 is an apocalyptic number.

27420906240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27420906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59887564800).

27420906240 is an abundant number, since it is smaller than the sum of its proper divisors (92354223360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27420906240 is a wasteful number, since it uses less digits than its factorization.

27420906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8769 (or 8749 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 27420906240 in words is "twenty-seven billion, four hundred twenty million, nine hundred six thousand, two hundred forty".